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212001012100 = 22522287926983
BaseRepresentation
bin1100010101110000111…
…1101011100110000100
3202021012201022021012001
43011130033223212010
511433134224341400
6241220353235044
721213403604323
oct3053417534604
9667181267161
10212001012100
1181a00054219
1235106862a84
1316cb7749577
14a391cc40ba
1557abd44a6a
hex315c3eb984

212001012100 has 36 divisors (see below), whose sum is σ = 460243848064. Its totient is φ = 84763234080.

The previous prime is 212001012079. The next prime is 212001012109. The reversal of 212001012100 is 1210100212.

212001012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212001012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234792 + ... + 692191.

Almost surely, 2212001012100 is an apocalyptic number.

212001012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001012100 is an abundant number, since it is smaller than the sum of its proper divisors (248242835964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212001012100 is a wasteful number, since it uses less digits than its factorization.

212001012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929284 (or 929277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212001012100 its reverse (1210100212), we get a palindrome (213211112312).

The spelling of 212001012100 in words is "two hundred twelve billion, one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2287 4574 9148 11435 22870 45740 57175 114350 228700 926983 1853966 3707932 4634915 9269830 18539660 23174575 46349150 92698300 2120010121 4240020242 8480040484 10600050605 21200101210 42400202420 53000253025 106000506050 212001012100